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G. L. Yuan and X. W. Lu, “A new line search method with trust region for unconstrained optimization,” Communications on Applied Nonlinear Analysis, Vol. 15, No. 1, pp. 35–49, 2008.

has been cited by the following article:

• TITLE: A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations

  AUTHORS: Gonglin YUAN, Zhongxing WANG, Zengxin WEI

  KEYWORDS: Rank-One Update, Global Convergence, Nonlinear Equations, Descent Direction

  JOURNAL NAME: International Journal of Communications, Network and System Sciences, Vol.2 No.6, September 22, 2009

  ABSTRACT: In this paper, a rank-one updated method for solving symmetric nonlinear equations is proposed. This method possesses some features: 1) The updated matrix is positive definite whatever line search technique is used; 2) The search direction is descent for the norm function; 3) The global convergence of the given method is established under reasonable conditions. Numerical results show that the presented method is interesting.